4 papers
Nonlinear Electromagnetic Self-Duality and Legendre Transformations
Mary K. Gaillard, Bruno Zumino
We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fie…
Some Complex Quantum Manifolds and their Geometry
Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino
After recalling briefly some basic properties of the quantum group , we study the quantum sphere , quantum projective space and quantum Grassmannians as e…
Cartan Calculus on Quantum Lie Algebras
Peter Schupp, Paul Watts, Bruno Zumino
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing ex…
Differential Calculus on Quantum Spaces and Quantum Groups
Bruno Zumino
A review of recent developments in the quantum differential calculus. The quantum group is treated by considering it as a particular quantum space. Functions on …